Yato

Teleportation: Yato is able to teleport the width and breadth of Japan, if not farther. He uses this as a means of travel and isn't shown to use it in combat. Not sure why as it would be one huge advantage. Perhaps it takes a lot of energy or it is too much of an advantage in fights? He cannot teleport to other realms, just the one he is in. (Within Milliways, he will be able to teleport within the bounds as long as the Landlord allows, as well as only to places the Landlord allows).

Rend: Using his shinki, Yato can exorcise and destory ayakashi, or phantoms to the Far Shore, i.e. the land of he dead. It can be used to cut the ties people make to others (friendships, bullies, family, etc.). He cannot do this without a shinki.

Senses: Yato can sense ayakashi and kami, if he is paying attention. He has  abad habit of getting in his own way.

Obscured presence: Like all those from the Far Shore, Yato is hard to see to those who live on the Near Shore, i.e. the living; with the exception of animals and very young children. Within Milliways, this is likely to not be as effective as he expects, i.e. up to you if your pup sees him right away.

Divine Possession: Yato is capable of controlling human bodies by temporally substituting/taking over the soul. As the possession is performed one could catch sight of two visual notable changes: the possessed person will have a little golden crown sitting on his/her head and Yato's eyes.

Pocket dimension: Yato repeatedly pulls a large glass bottle out his track suit which suggests he has access to a pocket dimension to store precious objects in. I'm going to assume this is a small space, since he is a lesser kami and all the items he seems to pull out of thin air (or his track suit) are small and hand held. 

Other feats: Being a kami, Yato is able to alter the laws of physics as he needs. He can leap great distances, alter time briefly to slow a fall, halt inertia to save one who is falling, and display great feats of strength, agility, and speed.